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Optimal allocation under partial ordering of lifetimes of components

Part of: Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Emad El-Neweihi  and
Jayaram Sethuraman
Emad El-Neweihi*
Affiliation:
University of Illinois, Chicago
Jayaram Sethuraman*
Affiliation:
Florida State University
*
* Postal address: Department of Mathematics, Statistics and Computer Science, University of Illinois, Chicago, IL 60680, USA.
** Postal address: Department of Statistics and Statistical Consulting Center, The Florida State University, Tallahassee, FL 32306-3303, USA.
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Abstract

Assembly of systems to maximize reliability when certain components of the systems can be bolstered in different ways is an important theme in reliability theory. This is done under assumptions of various stochastic orderings among the lifetimes of the components and the spares used to bolster them. The powerful techniques of Schur and arrangement increasing functions are used in this paper to pinpoint optimal allocation results in different settings involving active and standby redundancy allocation, minimal repair and shock-threshold models.

Keywords

HAZARD RATE ORDERINGSCHUR AND ARRANGEMENT INCREASING FUNCTIONS

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Advances in Applied Probability , Volume 25 , Issue 4 , December 1993 , pp. 914 - 925
Copyright
Copyright © Applied Probability Trust 1993 

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Footnotes

Research supported by Army Research Office Grant DAAL03-90-G-0103.

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